Answer:
1) 51
2) 0.8
3) cosecant
Step-by-step explanation:
Question 1
The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.
So,
Adjacent side = 120 feet
Opposite side = 150 feet
Tangent of an angle is defined as:
Using the values, we get:
Rounded to the nearest degree, the angle of depression would be 51 degrees.
Question 2)
We have to find the cosine of angle Z. cos is defined as:
The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:
Therefore, value of cos(Z) for given triangle would be 0.8
Question 3
The opposite of sine ratio is known as cosecant which is abbreviated as csc
Since it is the opposite of sine ratio, it would be calculated as:
sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.
Answer:
Movie: $4.25
Video Game: $5.25
Step-by-step explanation:
For this problem, we can use system of equations to solve for the rental costs of the movies and video games. Let's use x for movies and y for video games.
Equation 1
5x+3y=37
Equation 2
2x+6y=40
To start, we can use elimination to solve for x and y. Let's cancel out y. To do so, we have to multiply the first equation by 2 to get the y equal.
10x+6y=74
Now that the y are equal, we can subtract both equations.
8x=34
x=4.25
The movie rental cost is $4.25.
Now that we know x, we can plug in to find y.
2(4.25)+6y=40
8.5+6y=40
6y=31.5
y=5.25
The rental cost for video games is $5.25.
Answer:
The two numbers are 19 and 84
Answer:
15 1/240
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
6(k-18)=2(3k-9)
6k-108=6k-18
-108=-18
Therefore there's no solution